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Finding the Third Proportional to 269,322 and 398,778

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Solution

The third proportional to 269,322 and 398,778 is: 590,460.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,322 : 398,778 = 398,778 : x
  2. Step 2: Convert to fraction form
    269,322/398,778 = 398,778/x
  3. Step 3: Cross multiply
    269,322x = 398,778 × 398,778
  4. Step 4: Simplify right side
    269,322x = 159,023,893,284
  5. Step 5: Solve for x
    x = 159,023,893,284/269,322
  6. Step 6: Final answer
    x = 590,460.09

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.